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@article{50360, author = {Cremaschini, Claudio and Tessarotto, Massimo}, article_location = {NL - Nizozemsko}, article_number = {18-19}, doi = {http://dx.doi.org/10.1016/j.physleta.2015.02.024}, keywords = {classical statistical mechanics; hard-sphere system; collisional invariants; Boltzmann equation; statistical entropy density}, language = {eng}, issn = {0375-9601}, journal = {Physics Letters A}, title = {Theory of collisional invariants for the Master kinetic equation}, url = {https://www.sciencedirect.com/science/article/abs/pii/S0375960115001954}, volume = {379}, year = {2015} }
TY - JOUR ID - 50360 AU - Cremaschini, Claudio - Tessarotto, Massimo PY - 2015 TI - Theory of collisional invariants for the Master kinetic equation JF - Physics Letters A VL - 379 IS - 18-19 SP - 1206-1212 EP - 1206-1212 SN - 03759601 KW - classical statistical mechanics KW - hard-sphere system KW - collisional invariants KW - Boltzmann equation KW - statistical entropy density UR - https://www.sciencedirect.com/science/article/abs/pii/S0375960115001954 N2 - The paper investigates the integral conservation properties of the Master kinetic equation, which provides an exact kinetic statistical description for the Boltzmann-Sinai classical dynamical system. It is proved that, besides the customary Boltzmann collisional invariants, this equation admits also a class of generalized collisional invariants (GCI). The result applies only when the number N and the diameter sigma of hard-spheres are finite. This includes the case of dilute gases for which suitable asymptotic ordering conditions hold. However, when the Boltzmann-Grad limit is performed on the Master kinetic equation, it is shown that the existence of GCI is not permitted anymore. ER -
CREMASCHINI, Claudio a Massimo TESSAROTTO. Theory of collisional invariants for the Master kinetic equation. \textit{Physics Letters A}. NL - Nizozemsko, 2015, roč.~379, 18-19, s.~1206-1212. ISSN~0375-9601. Dostupné z: https://dx.doi.org/10.1016/j.physleta.2015.02.024.
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